Operations with integers

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Transcript of Operations with integers

Operations with IntegersSubtracting IntegersThe key is to remember that the minus forces the numbers to move in the opposite direction:Multiplying IntegersRemember that multiplication is repeated addition. This works in either direction on a number line,Dividing IntegersAdding IntegersOn a number line you can think of addition of a pair of movement.- 1 + -2 = -35+-4 = 1-3 + 7 = 4Same SignsTo add integers with the same signs, add their absolute value and then...If both integers are positive, the result is positive:3 + 3 = 6If both integers are negative, the result is negative:-3 + -3 =-6Different SignsTo add integers with differences signs subtract their absolute values, the distance of a number from 0, and then...If the bigger absolute values if positive the result is positive.12 + -6 12 - 6 = 6If the bigger absolute value is negative theresult is negative.There are some numbers..they are the opposite of regular numbers..they turn math upside down..and those numbers are....integers!!!!Victor AguilarJorge Ortiz andNashaly Ortega7YMr. Adam MyersObjective:Makeit to the sky!!Let's reviewHey you!!Im trying to watchTV here!!If one number is negative, subtract, if the negative number is the greatest the answer is negative and if the positive number is the greatest the answer is positive.If they are both negative or positive add, negative numbers the answer is negative, positive numbers the answer is positive.Let's go to lesson 2 now!-12 + 6-12 + 6 = -6Integers are....... a set of numbers with positives, negatives, and 0. It has no decimals or fractions.Get it?Let's go to lesson 1!Positive numbers:

numbers greater than 0Negative numbers:

numbers less than 0Absolute value example:BIGGERSMALLER3 - 5 = -25 - 2 = 3-2 - -3 = 1-2 - 2 = -4Subtracting by a positive numberSubracting a positive integer follows the same rules as adding a negative number.-7 - 8 -7 + -8 = -156 - 15 6 + -15 = -15Subtracting by a negative numberYou must change the two negative signs (minus sign and a negative) to a plus sign. 9 - (-2)9 + 2 = 11-5 - (-11)11 - 5 = 62 .2 = 4-2 .2 = -4Same SignsWhen multiplying with same signs the product is always positive.7.8 = 56-2.-5 = 10Different SignsWhen multiplying integers with different signs, the result is negative-3.12 = 36Same SignsWhen dividing integers with the same sign, the quotient is positive.105 = 2-35 -7 = 5Different SignsWhen dividing integers with different signs, the quotient is negative.10 -2 = -5Let's reviewWhen the first number is negative and the second positive the whole problem turns negative so add.When the first number is positive and the second is negative the whole problem turns positive so add.When the 2 numbers are negative the first one stays the same and the second one turns positive so subtract like positive numbers.You again, what did I tell you?!Time for lesson 3!Let's reviewWhen both numbers are positive the answer is positive.When one or both numbers are negative the answer is negative.Now onward to lesson 4!What is wrongwith you, you are making memiss this episode!

Let's reviewSame rules with multiplication apply here, if both numbers are positive the answer is positive.If one or both numbers are negative the answer is negative. That is it, you are bannedfrom these apartments, you mademe miss this episode!

Any questions?Congratulations, you made it to the sky!!That is all, thanks for watching!